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Longitudinal Scattering in Strings, Notes
As before,
velocity
is defined as positive to the right
right-going
traveling-wave
component of the
stress
, positive when the rod is locally
compressed
The stress-
wave
reflection coefficients
are
to the right, with corresponding
transmission coefficients
to the right
To the left, the
impedance
step negates, so the
reflection coefficients
negate for waves propagating to the left
Wave impedance
is now
where
strain
=
relative
displacement
To minimize the numerical
dynamic range
, velocity waves may be chosen instead when
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Download
Scattering.pdf
Download
Scattering_2up.pdf
Download
Scattering_4up.pdf
``
Scattering at an Impedance Discontinuity
'', by
Julius O. Smith III
, (From Lecture Overheads,
Music 420
).
Copyright ©
2020-06-27
by
Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),
Stanford University
[Automatic-links disclaimer]